Ian​'s car can go 140 miles on 4 gallons of gas. During a drive last​ weekend, he used 5 gallons of gas. How far did he ​drive? Use pencil and paper. Explain how the problem changes if you were given the distance driven last weekend instead of how much gas he used.

Answers

Answer 1

140 miles / 4 gallons = 35 miles per gallon.

35 x 5 = 175 miles

Answer 2

Answer:

The car would be able to drive 175 miles with 5 gallons of gas.

Step-by-step explanation:

Every gallon of gas would give you 35 miles of distance.

To do this you divide 140 by 4 which is 35 that means 1 gallon of gas is 35 miles.  

Add a extra gallon gas and also add the amount of distance the gas will give you (35 miles). Add that to 140 miles and then you get 175 miles.

For every 35 miles, I gallon of gas is used.

Hope this helps.


Related Questions

i need help :( jejeendhndhednndndndn

Answers

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Emily is preparing cookies for her friends she is at the market where she sees a 14 ounce bag of chocolate chips for 3.50 the market also sells a 24 ounce bag for 5.28 which size bag is better to buy

Answers

Answer:

Bag 2

Step-by-step explanation:

Given

Bag 1:

[tex]14\ ounce = 3.50[/tex]

Bag 2:

[tex]24\ ounce = 5.28[/tex]

Required

Which is a better buy

To get which buy is better, we first get the unit price of each bag.

[tex]Unit\ Price = Amount/Size[/tex]

For bag 1:

[tex]Unit\ Price = 3.50/14[/tex]

[tex]Unit\ Price = 0.25[/tex]

For bag 2:

[tex]Unit\ Price = 5.28/24[/tex]

[tex]Unit\ Price = 0.22[/tex]

The best buy is the one with smaller unit price

Hence, bag 2 is better to buy

Write the equation of the line in slope intercept form that has the given slope and the y-intercept

4). m=2;y-intercept is -6
5). m= -1; y-intercept is 3
6). m= -1/3; y-intercept is -1

Answers

4). y = 2x - 6

5). y = -1x + 3

6). y = -1/3x - 1

Which linear equations have an infinite number of solutions? Check all that apply.


(x – 3\7) = 2\3 (3\2x – 9\14 )

8(x + 2) = 5x – 14

12.3x – 18 = 3(–6 + 4.1x)

1\2(6x + 10) = 7(3\7x – 2)

4.2x – 3.5 = 2.1 (5x + 8)

Answers

Answer:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.

For example:

2 = 2 or x = x or 0 = 0

Solving the question above:

Which linear equations have an infinite number of solutions? Check all that apply.

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

x - 3/7 = 6x/6 - 18/42

x - 3/7 = x - 3/7

Collect like terms

x - x = -3/7 + 3/7

0 = 0

The linear equation in option a has an infinite number of solutions

b) 8(x + 2) = 5x – 14

8x + 16 = 5x - 14

Collect like terms

8x - 5x = -14 - 16

3x = -30

x = -30/3

x = -10.

The linear equation in Option b has a true solution.

c) 12.3x – 18 = 3(–6 + 4.1x)

12.3x - 18 = -18 + 12.3x

Collect like terms

12.3x - 12.3x = -18 + 18

0 = 0

The linear equation in Option c has infinite number of solutions

d) 1\2(6x + 10) = 7(3\7x – 2)

6x/2 + 5 = 21/7x - 14

3x + 5 = 3x - 14

Collect like terms

3x - 3x = -14 - 5

0 = -19

The linear equation Option d has no solution

e) 4.2x – 3.5 = 2.1 (5x + 8)

4.2x - 3.5 = 10.5x + 16.8

Collect like terms

4.2x - 10.5x = 16.8 + 3.5

-6.3x = 20.3

x = -20.3/6.3

x = -3.22

Hence, the linear equation in Option e has a true solution

Therefore, the linear equations have an infinite number of solutions are:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Answer(x – 3\7) = 2\3 (3\2x – 9\14 ) and (12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost her?
A
Write the fraction 14 gallons/$35, and divide the top and bottom by 35.

B
Write the fraction $35/14 gallons, and divide the top and bottom by 14.

C
Write the fraction $35/14 gallons, and multiply the top and bottom by 14.

D
Write the fraction 14 gallons/$35, and subtract 35 from the top and bottom.

Answers

B is your answer , you divide !!

8x-4y= -56 put in
slope-intercept form

Answers

Answer: x=2x +14

Step-by-step explanation:

1) subtract 8x from both sides: -4x= -8x -56

2) divide both sides by -4: x=2x +14

The answer is Y=2x + 14

bye cus im so bad at math smh.

on top it says:
“The graph shows the amount two cleaning companies are charged based on the number of hours it takes them to clean.”
SOMEONE HELP PLS

Answers

The answer is the third one. Trust me. I don't feel like explaining.

Step-by-step explanation:

Please help!!
Sinusoidal graphs may occur in everyday life. Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times, or the pattern of swinging on a tree.

Answers

Answer:

Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times.

There are 500 students in the 8th grade. Three percent were absent Friday. How many 8th graders were NOT absent Friday?

Answers

Answer:

485

Step-by-step explanation:

500/100=5

5*3=15

500-15=485

Hope this helps;)

Answer:

485

Step-by-step explanation:

Complete the table of values for this equation:
y= 4x +30
Enter your answer by filling in the boxes.
х
y
3
4
5

Answers

Answer:

x = 1 , y = 34

x = 2 , y =  38

x =  3 , y = 42

x = 4 , y = 46

x = 5 , y = 50

Step-by-step explanation:

The solution for the equation at different values is given below:-

x =  3 , y = 42

x = 4 , y = 46

x = 5 , y = 50

What is a linear equation?

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that the equation is y= 4x +30. From the table, the value of y at different values of x will be:-

x =  3 , y = ( 4 x 3) + 30 =  12 + 30 = 42

x = 4 , y = ( 4 x 4 ) + 30 = 16 + 30 = 46

x = 5 , y = ( 4 x 5 ) + 30 = 20 + 30 =  50

Therefore, the solution for the equation at different values is at x =  3 , y = 42 then at x = 4 , y = 46 and, at x = 5 , y = 50.

To know more about linear equations follow

https://brainly.com/question/20401690

#SPJ5

What is the equation of a line passing through the point (-4, 8) that is parallel to the line y = 2x + 6

Answers

Answer:

y = 2x + 16

Step-by-step explanation:

slope is parallel and equal to y = 2x + 6

y intercept = 16

Answer:

b - y=2x+16

Step-by-step explanation:

y=y1+m(x+x1)

(-4,8)

y=8+2(x-4)

y=8+2x-8

add 8 on both sides

y=2x+16

Mr. Christian is giving away special candies for Halloween. He has decided to spend $75 on Halloween candies. Each bag of candied raisins costs
$2.25 and each bags of Snickers costs $3.50.
1. Write the equation that represents this situation. Be sure to include what your variables stand for.
2. If Mr. Christian decides to buy 10 bags of candied raisins, how many bags of Snickers did he buy?

Answers

Answer:

1. For the candied raisins, r can represent the candied raisins

r = $2.25

t can equal total

t = total

And for the snickers, s can represent them

s = $3.50

Our equation would be: r + s = t

2. $52.50

10 bags of candied raisins would cost $22.50 so then we would subtract $22.50 from $75.00 because Mr. Christian wants to spend his full amount. We would get $52.50 from subtracting which is the amount he spent on the Snickers!

I hope that this can help you

Answer:

1: 2.25r + 3.50s = 75 ( r = raisins and s = snickers )

2: 15

Step-by-step explanation:

If you are creating an equation, you need to know which parts of the question should be included. The parts included in this equation would be $75 (total amount of money spent on candy), $2.25 (cost of 1 bag of candied raisins ), and $3.50 (cost of 1 bag of snickers).In order to make the equation, you would need to multiply both 2.25 and 3.50 by the amount of bags bought, however we do not know that yet, so we use variables. I chose to use r to represent the bags of candied raisins bought, and s to represent the bags of snickers bought. So that would leave you with 2.25r + 3.50s. Now since 75 is the total amount of money spent, you would set 2.25r + 3.50s equal to 75.

The answer to number 2 is 15. If you were to substitute r for 15, the new equation would be 2.25(10) + 3.50s = 75. When you multiply 2.25(10), you get 22.50. you would then subtract that from 75, giving you 50.50. The equation is now 3.50s = 50.50. The next step is to divide 3.50 on both sides, which would result in just the variable on the left side, and 15 on the right side of the equals sign ( s = 15 )

due 7:59 am est. Faith is saving up to buy a new bicycle. She already has $40 and can save an additional $6 per week using money from her after school job. How much total money would Faith have after 8 weeks of saving? Also, write an expression that represents the amount of money Faith would have saved in w weeks.

Answers

Answer:

After 8 weeks, Faith would have $88. money saved = 40+6w

Answer:

$88 saved in 8 weeks

Step-by-step explanation:

Part 1:

You would first set up the equation 40 + (6 x 8) = t. T would be the total money saved. You would then do 6 times 8 first, as they're in parenthesis. You would get 48. You now have 40 + 48 = t. You would now add like terms, and you would get 88 = t. You would save $88 in 8 weeks.

Part 2:

40 + 6w = t

w would represent the number of weeks, t would represent the total number of money saved.

I need help, algebra is hard

Answers

Answer: C

Step-by-step explanation:

I think this one is it?

Answer:

c

Step-by-step explanation:

An art teacher has 28 students in her first-period class and 24 students in her second-period class. If almost 30% of the students in these classes are boys, about how many boys are in her first two classes?
A. 36
B. 15
C. 8
D. 7

Answers

Answer:
C. 8


Explanation:
One way to solve this is to find 30% of each class, 28 and 24.

30% of 28:
28 • 0.30 = 8.4
30% of 24:
24 • 0.30 = 7.2

You can then find the average of these two numbers.

8.4 + 7.2 = 15.6
15.6 ➗ 2 = 7.8
7.8 rounds up to 8

Another way to solve is to first find the average number of people in each class.

28 + 24 = 52
52 ➗ 2 = 26

You can then find 30% of this number.

26 • 0.30 = 7.8
7.8 rounds up to 8

Help solve this issue with mathematics

Answers

Answer:

last one

Step-by-step explanation:

i would say the last one, but im not sure, this one is really hard

slope of - 1/2 and y-intercept of 3 ​

Answers

Answer: 5/2

Step-by-step explanation:

Twelve large bottles of water cost $9.How many bottles can you buy for $3?

Answers

Answer: 4 large bottles of water for $3.

Step-by-step explanation: To find how many large water bottles you can buy with $3, you’ll have to divide 12 by 3 which equals to 4. You can check your answer by multiplying 4 x 3 which equals to 12, which is the original amount of large water bottles you can buy for $9.


PLEASE ANSWER ASAP
Part I: Given the function ()-3./242)
A. What restriction is there on the value under the square root symbol? In other words, what can't you
do with a square root expression? (1 point)

Answers

Answer:

x - 2 ≥ 0

Step-by-step explanation:

The expression under the square root cannot be negative, thus

x - 2 ≥ 0 , that is

x ≥ 2

My school is giving me a 1-day break for Thanksgiving and I'm very sad, I wanted at least 2-3 days.

Answers

Answer: If your school is only giving you a day off take memories that one day.

Step-by-step explanation: I'm also very sorry that you didn't get 2-3 days off. I get 2 days off and then the weekend.

Can I get brainlest please?! Also have a great day! (Everyday)

Answer:

i feel the same way :>

Step-by-step explanation:

but what you can do is try to enjoy the day as much as you can!!  :)

Gary had a 40% discount for new tires. The sale price of a tire was $96.25. What was the original price of the tire? Round to the nearest cent

Answers

Answer:

Step-by-step explanation:

If the price after the discount is subtracted is $96.25 then this is what you do

u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75

but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25

The original price of the tire that Gary would have paid had it not been for the discount is $160.42

Gary spent $96.25 on a new tire but this tire had been discounted by 40%.

This means that $96.25 is the result of the original price being reduced by 40%. Assuming that original price is x, the relevant expression would be:

x - (x × 40%) = 96.25

x - 0.4x = 96.25

0.6x = 96.25

x = 96.25 / 0.6

x = $160.42

In conclusion, the original price was $160.42.

Find out more at https://brainly.com/question/2393942.

if you had two = five what would five + seven be

Answers

Answer:

14

Step-by-step explanation:

2 plus 5 plus 7

Austin makes a
Commission of 20% on
his sales each week.
Last week, his sales
were $520. How much
was Austin's
Commission?

Answers

Answer:

104$

Step-by-step explanation:

520/10*2

Answer:

$104

Step-by-step explanation:

cool person said it so

What is the factored form of 250x3 − 16?

Answers

Answer: 2(5−2)(25^2 + 10 + 4)

Step-by-step explanation:

I took a test with the same question and got it right. Hope this helps

Determine the solution to the equation. 8+4x=2x+8+2x

Answers

Answer: x= all real numbers.

Step-by-step explanation: Simplify the equation first. 8+4x=2x+8+2x. Add the variables on the right side. 4x+8=4x+8. Because the two sides are exactly equal, x can be all real numbers.

Answer:

8=8

Step-by-step explanation:

8+4x=2x+8+2x

combine like terms

8+4x=4x+8

subtract 4 from both sides

8=8

I HOPE THIS HELPED!!!!

if petrol cause $1.20 per gallon how much would 5 3/4 gallons cost

Answers

It would cost $6.90:)

Answer:

$6.90

Step-by-step explanation:

1.20 x (5 3/4) = 6.9

The cost $y$ (in dollars) to rent a kayak is proportional to the number $x$ of hours that you rent the kayak. It costs $27 to rent the kayak for 5 hours

Answers

Note: Consider we need to find the constant of proportionality.

Given:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

It costs $27 to rent the kayak for 5 hours.

To find:

The constant of proportionality.

Solution:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.

[tex]27=k(5)[/tex]

Divide both sides by 5.

[tex]\dfrac{27}{5}=k[/tex]

Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].

un terreno rectangular tiene 12 m. De frente y 40 m de fondo .
¿ cuál es el costo del terreno si el metro cuadrado cuesta $2100?

Answers

Answer:

El costo de las dimensiones dadas es $ 1092000

Step-by-step explanation:

Dada

Longitud = 13m

Profundidad = 40m

Costo de 1m² = $ 2100

Required

Determine el costo del terreno Primero, necesitamos determinar el área del terreno.

Primero, necesitamos determinar el área del terreno.

Área = Longitud * Profundidad

Valores sustitutos de Longitud y Profundidad

Área = 13m * 40m

Área = 520m²

A continuación, calculamos el costo del área calculada

Si 1m² cuesta $ 2100

Entonces

520m² cuesta $ 2100 * 520

Costo = $ 1092000

Por lo tanto, el costo de las dimensiones dadas es $1092000

Lucy has $8.15.

She loses $3.00.

About how much does she have now

Answers

The answer is $5.15! Hope this helps

Answer:5.15 or 5 rounded

Step-by-step explanation:

8-3=5 and add .15

In ARST, mZR = (5x + 15)", mZS = (6x + 8)°, and mZT = (4x + 7)º.
What is the value of x?

Answers

Answer:

10

Step-by-step explanation:

(5x + 15)° + (6x + 8)° + (4x + 7)° = 180°

15x + 30 = 180 ⇒ x = 10

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